Yes, but its hard to expalin unless you've tasted both.
Here are brief Wiki extracts:
"Marmite is a brand of savoury food spread from the United Kingdom, based on yeast extract invented by German scientist Justus von Liebig. It is made from by-products of beer brewing (see Lees (fermentation)) and is currently produced by British company Unilever. https://en.wikipedia.org/wiki/Marmite ..."
"Vegemite is a thick, dark brown Australian food spread made from leftover brewers' yeast extract with various vegetable and spice additives. It was developed by Cyril Callister in Melbourne, Victoria in 1922. ..."
A spread for sandwiches, toast, crumpets and cracker biscuits as well as a filling for pastries, Vegemite is similar to British Marmite, New Zealand Marmite, Australian Promite, MightyMite, AussieMite, OzEmite, German Vitam-R, and Swiss Cenovis. https://en.wikipedia.org/wiki/Vegemite."
Special note to Americans: Vegemite is owned by Kraft, a US multinational. So you're to blame for foisting it on the world!